Common Physics Equations

Common Physics Equations

Motion

=

=

(

+

)

=

=

(

-

)

= +

= +

= + /

=

(

+

)

Variables: (mks unit) vave : average velocity (m/s) x or x : change in position or displacement (m) t or t : change in time or time (s) v : change in velocity (m/s) vi : initial velocity (m/s) vf : final velocity (m/s) a : acceleration (m/s2)

(note: on many different equation sheets x is substituted by d for displacement)

Projectile Motion

X axis projectile equation

Y axis projectile equations

=

= + /

= +

Note: the Y axis equations are the same as the accelerated motion equations above but specialized for something in freefall along the Y axis

= + = . /

Only if viy = 0 = + /

Becomes

= ( )

Variables (mks unit)

y or y : change in position or displacement (m) in the y axis

v : change in velocity (m/s)

Viy : initial Y axis velocity (m/s)

Vfy : final Y axis velocity (m/s)

g : acceleration due to gravity (m/s2)

Force and Friction

= = m1a1 = m2a2 = = ? = -

Gravitation and Circular Motion

=

=

=

=

=

=

.

-

= =

=

=

Variables (mks unit)

()

m : mass (kg) a : acceleration (m/s2) FW : weight (N) Ff : Force of friction (N) ? : coefficient of friction (no unit) Fs : Spring Force (N) k : spring constant (N/m or kg/s2) x: displacement of stretched spring (m)

Variables (mks unit) Fc : centripetal force (N) ac : centripetal acceleration (m/s2) v : velocity (m/s) r : radius (m) : pie (3.14 rounded) Fg : Force of Gravity (N) G : universal gravitation constant ( ) m1 : mass one (kg) m2 : mass two (kg) d : distance between objects (m) : Torque (Nm) F: Perpendicular Force (N) T: Period (s) f: Frequency (Hz) F1 and F2 represent two different forces created by object 1 or 2 (N) d1 and d2 represent two different distances that object one or two are from the fulcrum or rotational point (m)

Energy and Momentum

PE = mgh KE = ? mv2 PEi + KEi = PEf + KEf mghi + ? mvi2 = mghf + ? mvf2 P = mv Impulse = Ft Ft = (mv)

Elastic Collisions m1v1i + m2v2i = m1v1f+m2v2f Inelastic Collisions m1v1 + m2v2i = (m1 + m2)vf -

Work and Power

W = F// d

=

=

//

W = KE

Simple Machines

=

=

=

X

100%

Variables (mks unit) PE : potential energy (J) m : mass (kg) g : acceleration due to gravity (m/s2) h : height (m) KE : kinetic energy (J) v : velocity (m/s) p : momentum (kgm/s) J: Impulse (Ns) m1 : first objects mass (kg) v1i : first objects initial velocity (m/s) m2 : second mass (kg) v2i : second objects initial velocity (m/s) v1f : first objects final velocity (m/s) v2f : second object final velocity (m/s) vf : combined final velocity (m/s)

Variables (mks unit) W : work (J) P : power (W) F// : Force parallel to the motion (N)

Variables (mks unit) IMA : Ideal Mechanical Advantage (none) din : distance on input side (m) dout : distance on output side (m) Fin : Force on input side (N) Fout : Force on output side (N) Fout is force provided by the machine and equal to the weight you are trying to lift

Electricity

=

=

.

=

V = IR

=

=

=

P = IV P = I2R

=

=

qe : charge of electron = -1.6 x 10-19 C

Series Circuit

= + + + = = = = = + + +

Parallel Circuit

= = = = + + + + = + + +

At Device (more in last section)

= =

Variables (mks unit) Fel : electrical force (N) k : coulomb constant () q : charge (C) q1 or q2 : multiple objects with charge (C) d : distance between (m) I : current (A) T: time (s) E : electrical field (N/C) V : potential difference or voltage (V) W : work (J) P : power (W) R : resistance ( or Ohms)

Variables and Subscripts Subscripts

(1,2,3, ...): first, second, third resistor or device, and so forth...

T or emf: equivalent or total calculated at the battery or power source

V : voltage (m/s) I : Current (A) R : resistance ( or Ohms)

Sound and Waves

=

=

= vsound= 331m/s + 0.6T(?C)

Variables (mks unit) v : velocity (m/s) f : frequency (Hz) : wavelength (m) T : period (s) Vsound : velocity of sound (m/s)

Optics

= +

=

=

-

nisini = nrsinr

=

=

c = 3x108 m/s

Variables (mks unit) f : focal length (m) di : distance to image (m) do : distance to object (m) M : magnification (times) hi : height of image (m) ho : height of object (m) n : index of refraction (no unit) ni : index of refraction incident side (no unit) nr : index of refraction refracted side (no unit) i : angle of incidence (?) r : angle of refraction (?) c : critical angle (?) vmaterial : velocity of light in a material (m/s) c : speed of light or any electromagnetic wave in a vacuum (3x108 m/s)

Trig Reminders

= +

=

=

=

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